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Finding the Fourth Proportional to 783.17, 1,174.95 and 296.22

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Solution

The fourth proportional to 783.17, 1,174.95 and 296.22 is: 444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.17 : 1,174.95 = 296.22 : x
  2. Step 2: Convert to fraction form
    783.17/1,174.95 = 296.22/x
  3. Step 3: Cross multiply
    783.17x = 1,174.95 × 296.22
  4. Step 4: Simplify right side
    783.17x = 348,048.10
  5. Step 5: Solve for x
    x = 348,048.10/783.17
  6. Step 6: Final answer
    x = 444.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.